Finding the Third Proportional to 36,140 and 55,618

Step by Step Solution

1. Step 1: Write the proportion equation
   36,140 : 55,618 = 55,618 : x
2. Step 2: Convert to fraction form
   36,140/55,618 = 55,618/x
3. Step 3: Cross multiply
   36,140x = 55,618 × 55,618
4. Step 4: Simplify right side
   36,140x = 3,093,361,924
5. Step 5: Solve for x
   x = 3,093,361,924/36,140
6. Step 6: Final answer
   x = 85,593.86